Exchange couplings and quantum phases in two dissimilar arrays of similar copper dinuclear units

Abstract

To investigate the magnetic properties and the spin entanglement of dinuclear arrays, we prepared compounds [{Cu(pAB)(phen)H2O}2·NO3·pABH·2H2O], 1, and [Cu2(pAB)2(phen)2pz]n, 2 (pABH = p-aminobenzoic acid, phen = 1,10-phenanthroline and pz = pyrazine). The structure of 1 is known and we report here that of 2. They contain similar dinuclear units of CuII ions with 1/2-spins S1 and S2 bridged by pairs of pABmolecules, with similar intradinuclear exchange Hex ¼ J0S1 S2 and fine interactions HD ¼ S1 ð2DÞ S2, but different 3D crystal arrays with weak interdinuclear exchange J?, stronger in 2 than in 1. To investigate the magnetic properties and the spin entanglement produced by J?, we collected the powder spectra of 1 and 2 at 9.4 GHz and T between 5 and 298 K, and at 34.4 GHz and T = 298 K and single-crystal spectra at room T and 34.4 GHz as a function of magnetic field (B0) orientation in three crystal planes, calculating intradinuclear magnetic parameters J0 = (−75 ± 1) cm−1, J0 = (−78 ± 2) cm−1, |D(1)| = (0.142 ± 0.006)cm−1, |D(2)| = (0.141 ± 0.006) cm−1 and E(1) ∼ E(2) ∼ 0. Single crystal data indicate a quantum entangled phase in 2 around the crossing between two fine structure EPR absorption peaks within the spin triplet. This phase also shows up in powder samples of 2 as a U-peak collecting the signals of the entangled microcrystals, a feature that allows estimating |J?|. Transitions between the two quantum phases are observed in single crystals of 2 changing the orientation of B0. We estimate interdinuclear exchange couplings |J?(1)| < 0.003 cm−1 and |J?(2)| = (0.013 ± 0.005) cm−1, in 1 and 2, respectively. Our analysis indicates that the standard approximation of a spin Hamiltonian with S = 1 for the dinuclear spectra is valid only when the interdinuclear coupling is large enough, as for compound 2 (|J?(2)/J0 | ∼ 1.7 × 10−4). When J? is negligible as in 1, the real spin Hamiltonian with two spins 1/2 has to be used. Broken-symmetry DFT predicts correctly the nature and magnitude of the antiferromagnetic exchange coupling in 1 and 2 and ferromagnetic interdinuclear coupling for compound 2.